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Elodia [21]
3 years ago
10

Solve x^2 + 4x + 8 = 0

Mathematics
1 answer:
Mkey [24]3 years ago
8 0

Answer:

x = -2 + 2 i or x = -2 - 2 i

Step-by-step explanation:

Solve for x:

x^2 + 4 x + 8 = 0

Subtract 8 from both sides:

x^2 + 4 x = -8

Add 4 to both sides:

x^2 + 4 x + 4 = -4

Write the left hand side as a square:

(x + 2)^2 = -4

Take the square root of both sides:

x + 2 = 2 i or x + 2 = -2 i

Subtract 2 from both sides:

x = -2 + 2 i or x + 2 = -2 i

Subtract 2 from both sides:

Answer:  x = -2 + 2 i or x = -2 - 2 i

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An accountant earns 6% simple interest. You want to find the interest earned on $200 after 8 months.
tamaranim1 [39]

Answer:

The interest is $12

Step-by-step explanation:

You just put the percent in a decimal form(6%-0.06)Then you multiply 200 with 0.06. And the answer you get is the interest

Hope that helps :)

5 0
3 years ago
What is 25 ties 3 divited by 19
otez555 [7]

Answer:3.9

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Jeremy has 50 ft of fencing to enclose a rectangular-pen for his dog. He plans on using a side of his house for one side of the
kotykmax [81]

The dimensions such as length is 18 and width is 16 or length is 32 and width is 9 will produce an enclosed area of 288ft.

<h3>What is the dimension of length and width?</h3>

We know that,

P = l + 2w

50 = l + 2w

50 - 2w = l

A = l x w

288 = (50 - 2w)w

288 = 50w -2w²

2w² - 50w + 288

By dividing throughout by 2

w² - 25w + 144

This is in quadratic equation form.

By applying quadratic formula,

w = (-(-25) ± \sqrt{(-25)^{2}-4*1*144) / 2

w = (-(-25) ± 7)/2

w1 =  (-(-25) + 7)/2

w1 = (25 + 7) / 2

w1 = 16

w2 =  (-(-25) - 7)/2

w2 = (25 - 7) / 2

w2 = 9

By substituting the values in eq1,

A = l x w

if w = 16

288 = l x 16

l = 288/16

l = 18

if w = 9

288 = l x 9

l = 288/9

l = 32

The dimensions will be length is 18 and width is 16 or length is 32 and width is 9.

To learn more about area of rectangle refer to :

brainly.com/question/25292087

#SPJ1

3 0
1 year ago
One day at football practice, Darrell, the kicker, punted the ball so that its height in feet above the ground was given by the
nika2105 [10]

When the football is 81 feet high, it will be √  3 / 8 seconds

<h3>Function</h3>

Function relates input to output. Therefore,

  • h(t)  = - 16t² + 75

Therefore,

t = number of seconds

h(t) = - 16t² + 75

h(t) = 81 ft

Therefore,

81 = - 16t² + 75

- 16t²  = 81 - 75

- 16t²  = 6

divide both sides by -16

t² = 6 / -16

t² = - 3 / 8

square root both sides

t = √  3 / 8 seconds

learn more on function here: brainly.com/question/4418459

6 0
2 years ago
What is the arc length of an angle of 2π 3 radians formed on the unit circle? A) π 3 B) 2π 3 C) 4π 3 D) 5π 3
mars1129 [50]
We know that
in a unit circle the radius is 1
therefore
[Length of a circumference]=2*pi*r------> 2*pi

if 2pi radians in a circle unit has a length of ------------>  2*pi
2pi/3 radians----------------------------> X
X=2pi/3

the answer is 2pi/3

5 0
3 years ago
Read 2 more answers
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